Is ∫1/x^2 - ∫1/x^2 from 0 to 2 Zero or Undefined?

  • Context: Undergrad 
  • Thread starter Thread starter chessmath
  • Start date Start date
  • Tags Tags
    Integral Zero
Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
1 reply · 2K views
chessmath
Messages
20
Reaction score
0
Hi
I would like to know what is ∫1/x^2-∫1/x^2 from 0 to 2.is it zero or undefined meaning that it is infinity ? (because each integral is undefined at zero).
 
Physics news on Phys.org
chessmath said:
Hi
I would like to know what is ∫1/x^2-∫1/x^2 from 0 to 2.is it zero or undefined meaning that it is infinity ? (because each integral is undefined at zero).
Every element of that substraction is a divergent improper integral and, thus, the whole operation is undefined.

DonAntonio
 
Last edited by a moderator: